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Finding the Third Proportional to 2,273,726,310 and 4,976,051,178

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Solution

The third proportional to 2,273,726,310 and 4,976,051,178 is: 10,890,090,516.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273,726,310 : 4,976,051,178 = 4,976,051,178 : x
  2. Step 2: Convert to fraction form
    2,273,726,310/4,976,051,178 = 4,976,051,178/x
  3. Step 3: Cross multiply
    2,273,726,310x = 4,976,051,178 × 4,976,051,178
  4. Step 4: Simplify right side
    2,273,726,310x = 24,761,085,326,075,187,200
  5. Step 5: Solve for x
    x = 24,761,085,326,075,187,200/2,273,726,310
  6. Step 6: Final answer
    x = 10,890,090,516.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.